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        <td class="header">&nbsp; Compact-pol Radar Vegetation Index Generation</td>
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<h3>Compact-pol Radar Vegetation Index-CpRVI</h3>
<hr><br>
<p align="right"><img src="images/MRSLABlogo.png"></p>
<p align="right">Microwave Remote Sensing Lab (MRSLab)</p>
<p align="right">Indian Institute of Technology Bombay, India</p>
<p align="right">Contributors: Dr. Dipankar Mandal et al.</p>
<p align="right">Tel: +91-22-2576-7677</p>
<p align="right">Date: 25 Nov 2020</p>
<p align="right">E-mail: mrscsre@gmail.com; dipankar.agrilengg@gmail.com</p>
<p align="right">URL: http://www.mrslab.in
</p>



<h3>1. CpRVI Theoretical Introduction </h3>
<p>The Compact-pol Radar Vegetation Index (CpRVI) is calculated from compact-pol 2x2 covariance matric C2.</p>
<p>The Compact-pol RVI (CpRVI) uses the concept of a geodesic distance (GD) between two
Kennaugh matrices projected on unit sphere [1]. The ideal depolarizer (ID) is used as a volume model that converts all Stokes vectors into a randomly polarized
wave. So, it computes a similarity measure fID between the
observed Kennaugh matrix and a Kennaugh matrix corresponding
to the ID.</p>

<p>The parameter beta is introduced, which is proportional to the ratio of the
minimum to the maximum backscattering power in the same
(SC) and the opposite (OC) sense to the transmitted circular
polarization. The final formulation is as follows:</p>
<p align="center"><img src="images/cprviformulation.jpg"></p>
<p>where g0 (the first element of the Stokes vector) is a measure
of the total average received power and g3 (the fourth element
of the Stokes vector) is a measure of the average received
power in circular polarization.</p>



<p>Ref:</br>
[1] D. Mandal et al., "A Radar Vegetation Index for Crop Monitoring Using Compact Polarimetric SAR Data," 
		in IEEE Transactions on Geoscience and Remote Sensing, vol. 58, no. 9, pp. 6321-6335, Sept. 2020, 
		doi: 10.1109/TGRS.2020.2976661.</p>
		
		
		

<h3>2. CpRVI Operator Documentation </h3>
<p>Inputs to CpRVI operator:</br>
C2 matrix of compact-pol data (Right Circular Transmit is considered).-->data type: float32</br>
Processing window size--> data type int</p>

<p>Output of CpRVI operator:</br>
cprvi image-->data type: float32</p>
<p align="center"><img src="images/toolinterfacecprvi.png" style="height:60%"></p>




<h3>3. CpRVI Results Analysis Help </h3>
<p>For results analysis please follow the article "D. Mandal et al., "A Radar Vegetation Index for Crop Monitoring Using Compact Polarimetric SAR Data," 
		in IEEE Transactions on Geoscience and Remote Sensing, vol. 58, no. 9, pp. 6321-6335, Sept. 2020, 
		doi: 10.1109/TGRS.2020.2976661."</p>
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